83322 has 16 divisors (see below), whose sum is σ = 185280. Its totient is φ = 27756.

The previous prime is 83311. The next prime is 83339. The reversal of 83322 is 22338.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 83295 and 83304.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83322.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 718 + ... + 825.

It is an arithmetic number, because the mean of its divisors is an integer number (11580).

2⁸³³²² is an apocalyptic number.

83322 is an abundant number, since it is smaller than the sum of its proper divisors (101958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92640).

83322 is a wasteful number, since it uses less digits than its factorization.

83322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1548 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 83322 is about 288.6555040182. The cubic root of 83322 is about 43.6770430313.

The spelling of 83322 in words is "eighty-three thousand, three hundred twenty-two".